Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain

Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations (1997)

  • Volume: 2, page 33-55
  • ISSN: 1292-8119

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Rosier, Lionel. "Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 33-55. <http://eudml.org/doc/90511>.

@article{Rosier1997,
author = {Rosier, Lionel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {controllability; Hilbert uniqueness method; boundary control; nonlinear Korteweg-de Vries equation; bounded domains; fixed point theorem},
language = {eng},
pages = {33-55},
publisher = {EDP Sciences},
title = {Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain},
url = {http://eudml.org/doc/90511},
volume = {2},
year = {1997},
}

TY - JOUR
AU - Rosier, Lionel
TI - Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 33
EP - 55
LA - eng
KW - controllability; Hilbert uniqueness method; boundary control; nonlinear Korteweg-de Vries equation; bounded domains; fixed point theorem
UR - http://eudml.org/doc/90511
ER -

References

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  9. [9] D.J. Korteweg and G. de Vries: On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Philos. Mag., 5, 39, 1895, 422-423. Zbl26.0881.02JFM26.0881.02
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Citations in EuDML Documents

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  1. T. Horsin, On the controllability of the burger equation
  2. Felipe Linares, Jaime H. Ortega, On the controllability and stabilization of the linearized Benjamin-Ono equation
  3. Felipe Linares, Jaime H. Ortega, On the controllability and stabilization of the linearized Benjamin-Ono equation
  4. Lionel Rosier, Control of the surface of a fluid by a wavemaker
  5. Ademir Fernando Pazoto, Unique continuation and decay for the Korteweg-de Vries equation with localized damping
  6. Ademir Fernando Pazoto, Unique continuation and decay for the Korteweg-de Vries equation with localized damping
  7. Lionel Rosier, Control of the surface of a fluid by a wavemaker
  8. Carlos F. Vasconcellos, Patricia N. da Silva, Stabilization of the Kawahara equation with localized damping
  9. Carlos F. Vasconcellos, Patricia N. da Silva, Stabilization of the Kawahara equation with localized damping
  10. Eugene Kramer, Ivonne Rivas, Bing-Yu Zhang, Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain

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